21.092 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.057 * * [simplify]: iteration 0: 6 enodes 0.058 * * [simplify]: iteration 1: 9 enodes 0.059 * * [simplify]: iteration 2: 10 enodes 0.060 * * [simplify]: iteration complete: 10 enodes 0.060 * * [simplify]: Extracting #0: cost 1 inf + 0 0.061 * * [simplify]: Extracting #1: cost 4 inf + 0 0.061 * * [simplify]: Extracting #2: cost 6 inf + 0 0.061 * * [simplify]: Extracting #3: cost 6 inf + 1 0.061 * * [simplify]: Extracting #4: cost 0 inf + 560 0.061 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.088 * * * [progress]: generating rewritten candidates 0.088 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.106 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.106 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.106 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.107 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.107 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.107 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.108 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.108 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.112 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.124 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.126 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.126 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.126 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (log 1) into 0 0.128 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [backup-simplify]: Simplify (log 1) into 0 0.130 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.130 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.146 * [backup-simplify]: Simplify -0.5 into -0.5 0.146 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.146 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.146 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (- 1) into -1 0.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.147 * [backup-simplify]: Simplify (log -1) into (log -1) 0.147 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (- 1) into -1 0.148 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.148 * [backup-simplify]: Simplify (log -1) into (log -1) 0.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.149 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.154 * [backup-simplify]: Simplify -1.0 into -1.0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.161 * [backup-simplify]: Simplify -0.5 into -0.5 0.161 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.161 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.162 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.162 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.162 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.162 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.162 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.162 * [taylor]: Taking taylor expansion of (log N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.163 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.163 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.163 * [taylor]: Taking taylor expansion of (log N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.164 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.164 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.164 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.169 * [backup-simplify]: Simplify 1.0 into 1.0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.193 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.196 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.196 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.196 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (log 1) into 0 0.198 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (log 1) into 0 0.199 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.199 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (log 1) into 0 0.200 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.202 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.202 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.227 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.241 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.241 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.241 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.241 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.242 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.243 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.243 * [taylor]: Taking taylor expansion of -1 in N 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ -1 1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.243 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.243 * [taylor]: Taking taylor expansion of 1.0 in N 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.244 * [backup-simplify]: Simplify (log -1) into (log -1) 0.244 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.244 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.244 * [taylor]: Taking taylor expansion of -1 in N 0.244 * [backup-simplify]: Simplify -1 into -1 0.244 * [taylor]: Taking taylor expansion of N in N 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ -1 1) into -1 0.245 * [backup-simplify]: Simplify (log -1) into (log -1) 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.247 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.248 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.257 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.267 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.289 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.290 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.290 * * * [progress]: simplifying candidates 0.291 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.292 * * [simplify]: iteration 0: 127 enodes 0.328 * * [simplify]: iteration 1: 286 enodes 0.419 * * [simplify]: iteration 2: 709 enodes 0.785 * * [simplify]: iteration 3: 2048 enodes 2.348 * * [simplify]: iteration complete: 5000 enodes 2.348 * * [simplify]: Extracting #0: cost 43 inf + 0 2.349 * * [simplify]: Extracting #1: cost 399 inf + 1 2.353 * * [simplify]: Extracting #2: cost 1010 inf + 2642 2.367 * * [simplify]: Extracting #3: cost 884 inf + 59695 2.426 * * [simplify]: Extracting #4: cost 394 inf + 170968 2.482 * * [simplify]: Extracting #5: cost 91 inf + 272370 2.546 * * [simplify]: Extracting #6: cost 22 inf + 301128 2.642 * * [simplify]: Extracting #7: cost 4 inf + 303994 2.715 * * [simplify]: Extracting #8: cost 0 inf + 305006 2.793 * [simplify]: Simplified to: (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (fma N (* N N) (* (* 1.0 1.0) 1.0))) (log (fma 1.0 (- 1.0 N) (* N N))) (log (* (+ 1.0 N) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (log (+ 1.0 N)) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (log (+ 1.0 N)) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (* (* (log N) (log N)) (log N))) (fma (+ (log (+ 1.0 N)) (log N)) (log N) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (fma -2 (log (cbrt N)) (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (fma 1.0 (- 1.0 N) (* N N)))) (+ (log N) (log (- N 1.0))) (- (log N)) (fma 1.0 N (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (- (fma 1.0 N (log 1.0)) (log N))) (fma (/ 1 N) 1.0 (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (fma (/ 1 N) 1.0 (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) 2.801 * * * [progress]: adding candidates to table 3.083 * * [progress]: iteration 2 / 4 3.083 * * * [progress]: picking best candidate 3.090 * * * * [pick]: Picked # 3.090 * * * [progress]: localizing error 3.113 * * * [progress]: generating rewritten candidates 3.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 3.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 3.174 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1 2) 3.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1) 3.264 * * * [progress]: generating series expansions 3.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 3.265 * [backup-simplify]: Simplify (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.265 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.265 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.265 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.265 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.265 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.265 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.265 * [taylor]: Taking taylor expansion of N in N 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (* 1 1) into 1 3.267 * [backup-simplify]: Simplify (* 1 1) into 1 3.267 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.267 * [taylor]: Taking taylor expansion of 0.5 in N 3.267 * [backup-simplify]: Simplify 0.5 into 0.5 3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.267 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.267 * [taylor]: Taking taylor expansion of N in N 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (* 1 1) into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.268 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.268 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.268 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.269 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.269 * [taylor]: Taking taylor expansion of N in N 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.270 * [taylor]: Taking taylor expansion of 0.5 in N 3.270 * [backup-simplify]: Simplify 0.5 into 0.5 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.270 * [taylor]: Taking taylor expansion of N in N 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.272 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.272 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.275 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.276 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.277 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.293 * [backup-simplify]: Simplify (- 0) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (- 0) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.311 * [backup-simplify]: Simplify (- 0) into 0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.322 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.334 * [backup-simplify]: Simplify (- 0) into 0 3.334 * [backup-simplify]: Simplify (+ 0 0) into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.336 * [backup-simplify]: Simplify (- (* (/ 0.3333333333333333 (/ 1 N)) (/ (/ 1 (/ 1 N)) (/ 1 N))) (* 0.5 (/ (/ 1 (/ 1 N)) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 3.336 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 3.336 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.336 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.336 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.336 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.336 * [taylor]: Taking taylor expansion of N in N 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.336 * [taylor]: Taking taylor expansion of 0.5 in N 3.336 * [backup-simplify]: Simplify 0.5 into 0.5 3.336 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.336 * [taylor]: Taking taylor expansion of N in N 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.336 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.336 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.336 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.336 * [taylor]: Taking taylor expansion of N in N 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.336 * [taylor]: Taking taylor expansion of 0.5 in N 3.336 * [backup-simplify]: Simplify 0.5 into 0.5 3.336 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.337 * [taylor]: Taking taylor expansion of N in N 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.338 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.339 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.339 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (- 0) into 0 3.343 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.343 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.345 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.347 * [backup-simplify]: Simplify (- 0) into 0 3.348 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (- 0) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.371 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.376 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.384 * [backup-simplify]: Simplify (- (* (/ 0.3333333333333333 (/ 1 (- N))) (/ (/ 1 (/ 1 (- N))) (/ 1 (- N)))) (* 0.5 (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 3.384 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.384 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.384 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.384 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.384 * [taylor]: Taking taylor expansion of 0.5 in N 3.384 * [backup-simplify]: Simplify 0.5 into 0.5 3.384 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.384 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.385 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.385 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.385 * [taylor]: Taking taylor expansion of 0.5 in N 3.385 * [backup-simplify]: Simplify 0.5 into 0.5 3.385 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.385 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (* 1 1) into 1 3.386 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.387 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.387 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.387 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.391 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.391 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.391 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.396 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.412 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (- 0) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.415 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.417 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 0.5) (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.424 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 3.424 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 3.424 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.424 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.424 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.424 * [taylor]: Taking taylor expansion of N in N 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (* 1 1) into 1 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.424 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.424 * [taylor]: Taking taylor expansion of N in N 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.425 * [backup-simplify]: Simplify (/ 1 1) into 1 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.432 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 3.432 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.432 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.432 * [taylor]: Taking taylor expansion of N in N 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.432 * [taylor]: Taking taylor expansion of N in N 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (* 1 1) into 1 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.437 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.441 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 3.441 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (* 1 1) into 1 3.442 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.450 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1 2) 3.450 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 3.450 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.451 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.451 * [taylor]: Taking taylor expansion of N in N 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.459 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 3.459 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.459 * [taylor]: Taking taylor expansion of N in N 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.459 * [taylor]: Taking taylor expansion of N in N 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.464 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 3.464 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.464 * [taylor]: Taking taylor expansion of N in N 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.464 * [taylor]: Taking taylor expansion of N in N 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.464 * [backup-simplify]: Simplify (* 1 1) into 1 3.464 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1) 3.469 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) into (/ 0.3333333333333333 (pow N 3)) 3.469 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.469 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.469 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.469 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.469 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.469 * [taylor]: Taking taylor expansion of N in N 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.470 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.470 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.470 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.470 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.470 * [taylor]: Taking taylor expansion of N in N 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (* 1 1) into 1 3.470 * [backup-simplify]: Simplify (* 1 1) into 1 3.470 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.470 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.493 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 (/ 1 N)) (/ (/ 1 (/ 1 N)) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 3.493 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.493 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.493 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.493 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.493 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.493 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.494 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.506 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 (/ 1 (- N))) (/ (/ 1 (/ 1 (- N))) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 3.506 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.506 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.506 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.506 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.506 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.506 * [taylor]: Taking taylor expansion of N in N 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.506 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.506 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.506 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.506 * [taylor]: Taking taylor expansion of N in N 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.507 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.514 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.516 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.516 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.519 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.519 * * * [progress]: simplifying candidates 3.525 * [simplify]: Simplifying: (fma (/ 0.3333333333333333 N) (/ (/ 1 N) N) (- (* (/ (/ 1 N) N) 0.5))) (fma (- (/ (/ 1 N) N)) 0.5 (* (/ (/ 1 N) N) 0.5)) (expm1 (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (log1p (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (- (* 0.5 (/ (/ 1 N) N))) (/ (exp (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (exp (* 0.5 (/ (/ 1 N) N)))) (log (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (* (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (* (* (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (sqrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (sqrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (- (* (/ 0.3333333333333333 N) (/ 1 N)) (* 0.5 (/ 1 N))) (- (* 0.3333333333333333 (/ (/ 1 N) N)) (* 0.5 (/ 1 N))) (- (* (* 0.3333333333333333 (/ 1 N)) N) (* (* N N) (* 0.5 (/ 1 N)))) (* (* N N) N) (- (* (* (/ 0.3333333333333333 N) (/ 1 N)) N) (* N (* 0.5 (/ 1 N)))) (* N N) (- (* (* 0.3333333333333333 (/ (/ 1 N) N)) N) (* N (* 0.5 (/ 1 N)))) (* N N) (- (pow (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) 3) (pow (* 0.5 (/ (/ 1 N) N)) 3)) (+ (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (+ (* (* 0.5 (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (- (* 0.5 (/ (/ 1 N) N))) (- (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* (* 0.5 (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (+ (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) (- (/ 0.3333333333333333 N) 0.5) (- (* 0.5 (/ (/ 1 N) N))) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (expm1 (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (log1p (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (+ (- (log 0.3333333333333333) (log N)) (- (- (log N)) (log N))) (+ (- (log 0.3333333333333333) (log N)) (- (- 0 (log N)) (log N))) (+ (- (log 0.3333333333333333) (log N)) (- (- (log 1) (log N)) (log N))) (+ (- (log 0.3333333333333333) (log N)) (- (log (/ 1 N)) (log N))) (+ (- (log 0.3333333333333333) (log N)) (log (/ (/ 1 N) N))) (+ (log (/ 0.3333333333333333 N)) (- (- (log N)) (log N))) (+ (log (/ 0.3333333333333333 N)) (- (- 0 (log N)) (log N))) (+ (log (/ 0.3333333333333333 N)) (- (- (log 1) (log N)) (log N))) (+ (log (/ 0.3333333333333333 N)) (- (log (/ 1 N)) (log N))) (+ (log (/ 0.3333333333333333 N)) (log (/ (/ 1 N) N))) (log (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (exp (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N))) (* (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N))) (* (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N))) (* (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N))) (* (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N))) (* (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N))) (* (cbrt (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (cbrt (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)))) (cbrt (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (sqrt (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (sqrt (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* 0.3333333333333333 (/ 1 N)) (* N N) (* (sqrt (/ 0.3333333333333333 N)) (sqrt (/ (/ 1 N) N))) (* (sqrt (/ 0.3333333333333333 N)) (sqrt (/ (/ 1 N) N))) (* (sqrt (/ 0.3333333333333333 N)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (sqrt (/ 0.3333333333333333 N)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (sqrt (/ 0.3333333333333333 N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N))) (* (sqrt (/ 0.3333333333333333 N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N))) (* (sqrt (/ 0.3333333333333333 N)) (/ (/ 1 (sqrt N)) (sqrt N))) (* (sqrt (/ 0.3333333333333333 N)) (/ (/ 1 (sqrt N)) (sqrt N))) (* (sqrt (/ 0.3333333333333333 N)) (/ 1 N)) (* (sqrt (/ 0.3333333333333333 N)) (/ 1 N)) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt (/ (/ 1 N) N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt (/ (/ 1 N) N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ 1 N)) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ 1 N)) (* (/ 0.3333333333333333 N) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N)))) (* (/ 0.3333333333333333 N) (sqrt (/ (/ 1 N) N))) (* (/ 0.3333333333333333 N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1)) (* (/ 0.3333333333333333 N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (sqrt (/ 1 N)) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (sqrt (/ 1 N)) 1)) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1)) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1)) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1)) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1)) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) (sqrt N)) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) (sqrt N)) 1)) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) 1) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ (sqrt 1) 1) 1)) (* (/ 0.3333333333333333 N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ 1 (* (cbrt N) (cbrt N))) 1)) (* (/ 0.3333333333333333 N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ 1 (sqrt N)) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ 1 (sqrt N)) 1)) (* (/ 0.3333333333333333 N) (/ (/ 1 1) (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ (/ 1 1) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ 1 1) 1)) (* (/ 0.3333333333333333 N) (/ 1 (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ 1 (sqrt N))) (* (/ 0.3333333333333333 N) (/ 1 1)) (* (/ 0.3333333333333333 N) (/ 1 (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ 1 (sqrt N))) (* (/ 0.3333333333333333 N) (/ 1 1)) (* (/ 0.3333333333333333 N) 1) (* (/ 0.3333333333333333 N) (/ 1 N)) (* (cbrt (/ 0.3333333333333333 N)) (/ (/ 1 N) N)) (* (sqrt (/ 0.3333333333333333 N)) (/ (/ 1 N) N)) (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (/ 1 N) N)) (* (/ (cbrt 0.3333333333333333) (sqrt N)) (/ (/ 1 N) N)) (* (/ (cbrt 0.3333333333333333) N) (/ (/ 1 N) N)) (* (/ (sqrt 0.3333333333333333) (cbrt N)) (/ (/ 1 N) N)) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (/ 1 N) N)) (* (/ (sqrt 0.3333333333333333) N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 (cbrt N)) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 (sqrt N)) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 1 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ 1 N)) (* 0.3333333333333333 (/ (/ 1 N) N)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 3.533 * * [simplify]: iteration 0: 300 enodes 3.734 * * [simplify]: iteration 1: 894 enodes 4.178 * * [simplify]: iteration 2: 3117 enodes 5.003 * * [simplify]: iteration complete: 5041 enodes 5.003 * * [simplify]: Extracting #0: cost 109 inf + 0 5.006 * * [simplify]: Extracting #1: cost 1135 inf + 2 5.012 * * [simplify]: Extracting #2: cost 1828 inf + 7307 5.046 * * [simplify]: Extracting #3: cost 1126 inf + 115284 5.115 * * [simplify]: Extracting #4: cost 286 inf + 281795 5.219 * * [simplify]: Extracting #5: cost 9 inf + 353605 5.341 * * [simplify]: Extracting #6: cost 0 inf + 356410 5.412 * [simplify]: Simplified to: (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (* (/ 1 (* N N)) (+ (- 0.5) 0.5)) (expm1 (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (log1p (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (/ (- 0.5) (* N N)) (exp (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (log (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (exp (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (* (cbrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (cbrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)))) (cbrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (* (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (* (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)))) (sqrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (sqrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (* (/ 1 (* N N)) 0.3333333333333333) (/ 0.5 N)) (* N (- (/ 0.3333333333333333 N) (* N (/ 0.5 N)))) (* N (* N N)) (* N (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N))) (* N N) (* N (- (* (/ 1 (* N N)) 0.3333333333333333) (/ 0.5 N))) (* N N) (- (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (/ (/ 0.5 N) N) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)))) (fma (/ 0.3333333333333333 N) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 0.3333333333333333 N)) (* (* (* (/ 1 (* N N)) (/ 1 (* N N))) 0.5) (+ (/ 0.3333333333333333 N) 0.5))) (/ (- 0.5) (* N N)) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5) (/ (- 0.5) (* N N)) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (exp (/ 1 (* N N))) (/ 1 (* (* N (* N N)) (* N (* N N)))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (/ (sqrt N) (cbrt (/ 1 N)))) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (exp (/ 1 (* N N))) (/ 1 (* (* N (* N N)) (* N (* N N)))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (/ (sqrt N) (cbrt (/ 1 N)))) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (expm1 (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log1p (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (exp (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* N (* N N))) (* N (* N N))) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* N (* N N))) (* N (* N N))) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (cbrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (cbrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N))) (cbrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (sqrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (sqrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ 0.3333333333333333 N) (* N N) (* (sqrt (/ 1 (* N N))) (sqrt (/ 0.3333333333333333 N))) (* (sqrt (/ 1 (* N N))) (sqrt (/ 0.3333333333333333 N))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 0.3333333333333333 N))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 0.3333333333333333 N))) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt (/ 1 (* N N)))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt (/ 1 (* N N)))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (* (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (/ 0.3333333333333333 N)) (* (/ 0.3333333333333333 N) (sqrt (/ 1 (* N N)))) (/ (* 0.3333333333333333 (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N)))) N) (* (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (* (* (/ 0.3333333333333333 N) (cbrt (/ 1 N))) (cbrt (/ 1 N))) (* (/ (/ 0.3333333333333333 N) (cbrt N)) (/ (sqrt (/ 1 N)) (cbrt N))) (/ (* (sqrt (/ 1 N)) (/ 0.3333333333333333 N)) (sqrt N)) (* (/ 0.3333333333333333 N) (sqrt (/ 1 N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 N) (/ (/ 0.3333333333333333 N) N) (* (cbrt (/ 0.3333333333333333 N)) (/ 1 (* N N))) (/ (/ (sqrt (/ 0.3333333333333333 N)) N) N) (/ (* (/ 1 (* N N)) (cbrt 0.3333333333333333)) (cbrt N)) (/ (* (/ 1 (* N N)) (cbrt 0.3333333333333333)) (sqrt N)) (/ (* (/ (cbrt 0.3333333333333333) N) 1) (* N N)) (* (/ (sqrt 0.3333333333333333) (cbrt N)) (/ 1 (* N N))) (/ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) N) (/ (* 1 (/ (sqrt 0.3333333333333333) N)) (* N N)) (/ (/ 1 (* N N)) (/ (cbrt N) 0.3333333333333333)) (/ (* (/ 1 (* N N)) 0.3333333333333333) (sqrt N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (/ 1 (* N N)) N) (/ (/ 0.3333333333333333 N) N) (* (/ 1 (* N N)) 0.3333333333333333) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) 5.462 * * * [progress]: adding candidates to table 6.785 * * [progress]: iteration 3 / 4 6.785 * * * [progress]: picking best candidate 6.788 * * * * [pick]: Picked # 6.788 * * * [progress]: localizing error 6.795 * * * [progress]: generating rewritten candidates 6.795 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.801 * * * [progress]: generating series expansions 6.801 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.802 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 6.802 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.802 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.802 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.802 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.802 * [taylor]: Taking taylor expansion of N in N 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [taylor]: Taking taylor expansion of 1.0 in N 6.802 * [backup-simplify]: Simplify 1.0 into 1.0 6.802 * [taylor]: Taking taylor expansion of N in N 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.803 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.803 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.803 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.803 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.803 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.803 * [taylor]: Taking taylor expansion of N in N 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of 1.0 in N 6.803 * [backup-simplify]: Simplify 1.0 into 1.0 6.803 * [taylor]: Taking taylor expansion of N in N 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.804 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.804 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.805 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.805 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.805 * [backup-simplify]: Simplify (+ 1 0) into 1 6.806 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.809 * [backup-simplify]: Simplify 1.0 into 1.0 6.809 * [backup-simplify]: Simplify (+ 0 0) into 0 6.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.819 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.820 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 6.820 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 6.820 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.820 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.820 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.820 * [taylor]: Taking taylor expansion of N in N 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.820 * [taylor]: Taking taylor expansion of N in N 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (/ 1 1) into 1 6.821 * [taylor]: Taking taylor expansion of 1.0 in N 6.821 * [backup-simplify]: Simplify 1.0 into 1.0 6.821 * [backup-simplify]: Simplify (+ 1 0) into 1 6.822 * [backup-simplify]: Simplify (* 0 1) into 0 6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.824 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.824 * [backup-simplify]: Simplify (log 1) into 0 6.824 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.824 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.825 * [backup-simplify]: Simplify (/ 1 1) into 1 6.825 * [taylor]: Taking taylor expansion of 1.0 in N 6.825 * [backup-simplify]: Simplify 1.0 into 1.0 6.825 * [backup-simplify]: Simplify (+ 1 0) into 1 6.826 * [backup-simplify]: Simplify (* 0 1) into 0 6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.828 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.828 * [backup-simplify]: Simplify (log 1) into 0 6.828 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.838 * [backup-simplify]: Simplify 1.0 into 1.0 6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (+ 0 0) into 0 6.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.853 * [backup-simplify]: Simplify -0.5 into -0.5 6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.864 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.864 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.864 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.864 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 6.864 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.864 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.864 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.864 * [taylor]: Taking taylor expansion of -1 in N 6.864 * [backup-simplify]: Simplify -1 into -1 6.864 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.864 * [taylor]: Taking taylor expansion of 1.0 in N 6.864 * [backup-simplify]: Simplify 1.0 into 1.0 6.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (/ 1 1) into 1 6.865 * [backup-simplify]: Simplify (- 1) into -1 6.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.865 * [backup-simplify]: Simplify (* 0 -1) into 0 6.866 * [backup-simplify]: Simplify (* -1 0) into 0 6.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (- 0) into 0 6.867 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.867 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.867 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.868 * [backup-simplify]: Simplify (log 1) into 0 6.868 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.868 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.868 * [taylor]: Taking taylor expansion of -1 in N 6.868 * [backup-simplify]: Simplify -1 into -1 6.868 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.868 * [taylor]: Taking taylor expansion of N in N 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.868 * [taylor]: Taking taylor expansion of 1.0 in N 6.868 * [backup-simplify]: Simplify 1.0 into 1.0 6.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.868 * [taylor]: Taking taylor expansion of N in N 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (/ 1 1) into 1 6.868 * [backup-simplify]: Simplify (- 1) into -1 6.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.869 * [backup-simplify]: Simplify (* 0 -1) into 0 6.869 * [backup-simplify]: Simplify (* -1 0) into 0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (- 0) into 0 6.870 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.870 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.871 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.871 * [backup-simplify]: Simplify (log 1) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.875 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.879 * [backup-simplify]: Simplify -1.0 into -1.0 6.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.880 * [backup-simplify]: Simplify (+ 0 0) into 0 6.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.883 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.896 * [backup-simplify]: Simplify -0.5 into -0.5 6.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.898 * [backup-simplify]: Simplify (+ 0 0) into 0 6.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.921 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 6.921 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.922 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.922 * * * [progress]: simplifying candidates 6.923 * [simplify]: Simplifying: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1)) (log (/ (sqrt (+ 1.0 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log 1) (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (log (/ 1 N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (exp (log (/ (+ 1.0 N) N))) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.924 * * [simplify]: iteration 0: 86 enodes 6.965 * * [simplify]: iteration 1: 173 enodes 7.044 * * [simplify]: iteration 2: 376 enodes 7.233 * * [simplify]: iteration 3: 1118 enodes 7.858 * * [simplify]: iteration 4: 3729 enodes 9.054 * * [simplify]: iteration complete: 5000 enodes 9.054 * * [simplify]: Extracting #0: cost 33 inf + 0 9.056 * * [simplify]: Extracting #1: cost 464 inf + 1 9.065 * * [simplify]: Extracting #2: cost 1004 inf + 3744 9.087 * * [simplify]: Extracting #3: cost 849 inf + 41681 9.133 * * [simplify]: Extracting #4: cost 253 inf + 144234 9.214 * * [simplify]: Extracting #5: cost 38 inf + 207643 9.295 * * [simplify]: Extracting #6: cost 1 inf + 219762 9.364 * * [simplify]: Extracting #7: cost 0 inf + 220070 9.456 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (+ (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (+ (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (fma -1/2 (* (/ N 1.0) (/ N 1.0)) (fma 1.0 N (log 1.0))) (log N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 9.459 * * * [progress]: adding candidates to table 9.644 * * [progress]: iteration 4 / 4 9.644 * * * [progress]: picking best candidate 9.651 * * * * [pick]: Picked # 9.652 * * * [progress]: localizing error 9.685 * * * [progress]: generating rewritten candidates 9.685 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 9.724 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 9.748 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 9.755 * * * [progress]: generating series expansions 9.755 * * * * [progress]: [ 1 / 3 ] generating series at (2) 9.755 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 9.755 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 9.755 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 9.755 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 9.755 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.755 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.756 * [taylor]: Taking taylor expansion of N in N 9.756 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify 1 into 1 9.756 * [backup-simplify]: Simplify (/ 1 1) into 1 9.756 * [backup-simplify]: Simplify (sqrt 0) into 0 9.757 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.757 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.757 * [taylor]: Taking taylor expansion of N in N 9.757 * [backup-simplify]: Simplify 0 into 0 9.757 * [backup-simplify]: Simplify 1 into 1 9.757 * [taylor]: Taking taylor expansion of 1.0 in N 9.757 * [backup-simplify]: Simplify 1.0 into 1.0 9.758 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.758 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.758 * [backup-simplify]: Simplify (+ 1 0) into 1 9.759 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.760 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.760 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.760 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.760 * [taylor]: Taking taylor expansion of N in N 9.760 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify 1 into 1 9.760 * [backup-simplify]: Simplify (sqrt 0) into 0 9.761 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.761 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.761 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 9.761 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 9.761 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.761 * [taylor]: Taking taylor expansion of N in N 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 1 into 1 9.761 * [backup-simplify]: Simplify (/ 1 1) into 1 9.762 * [backup-simplify]: Simplify (sqrt 0) into 0 9.762 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.763 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.763 * [taylor]: Taking taylor expansion of N in N 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [taylor]: Taking taylor expansion of 1.0 in N 9.763 * [backup-simplify]: Simplify 1.0 into 1.0 9.763 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.763 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.763 * [backup-simplify]: Simplify (+ 1 0) into 1 9.764 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.765 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.765 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.765 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.765 * [taylor]: Taking taylor expansion of N in N 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [backup-simplify]: Simplify (sqrt 0) into 0 9.766 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.766 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.767 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.767 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.768 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.769 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.769 * [backup-simplify]: Simplify (+ 0 0) into 0 9.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 9.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.786 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.793 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.794 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.794 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.795 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 9.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.828 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.828 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.828 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.830 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 9.831 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 9.831 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 9.831 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 9.831 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 9.831 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.831 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.831 * [taylor]: Taking taylor expansion of N in N 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [backup-simplify]: Simplify (sqrt 0) into 0 9.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.833 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.833 * [taylor]: Taking taylor expansion of N in N 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [backup-simplify]: Simplify (/ 1 1) into 1 9.833 * [taylor]: Taking taylor expansion of 1.0 in N 9.833 * [backup-simplify]: Simplify 1.0 into 1.0 9.834 * [backup-simplify]: Simplify (+ 1 0) into 1 9.834 * [backup-simplify]: Simplify (* 0 1) into 0 9.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.835 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.837 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.838 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.838 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.838 * [taylor]: Taking taylor expansion of N in N 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [backup-simplify]: Simplify (/ 1 1) into 1 9.838 * [backup-simplify]: Simplify (sqrt 0) into 0 9.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.840 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.840 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 9.840 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 9.840 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.840 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.840 * [taylor]: Taking taylor expansion of N in N 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.841 * [backup-simplify]: Simplify (sqrt 0) into 0 9.842 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.842 * [taylor]: Taking taylor expansion of N in N 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [backup-simplify]: Simplify (/ 1 1) into 1 9.842 * [taylor]: Taking taylor expansion of 1.0 in N 9.842 * [backup-simplify]: Simplify 1.0 into 1.0 9.843 * [backup-simplify]: Simplify (+ 1 0) into 1 9.843 * [backup-simplify]: Simplify (* 0 1) into 0 9.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.845 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.846 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.846 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.846 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.846 * [taylor]: Taking taylor expansion of N in N 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (/ 1 1) into 1 9.847 * [backup-simplify]: Simplify (sqrt 0) into 0 9.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.848 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.848 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.850 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 9.851 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 9.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.851 * [backup-simplify]: Simplify (+ 0 0) into 0 9.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 9.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.861 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.865 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.866 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.866 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.867 * [backup-simplify]: Simplify (+ 0 0) into 0 9.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 9.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.899 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.899 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.901 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) 9.901 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 9.902 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.902 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.902 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.902 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.902 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.902 * [taylor]: Taking taylor expansion of 1.0 in N 9.902 * [backup-simplify]: Simplify 1.0 into 1.0 9.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.902 * [taylor]: Taking taylor expansion of N in N 9.902 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify (/ 1 1) into 1 9.902 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.902 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.902 * [taylor]: Taking taylor expansion of -1 in N 9.902 * [backup-simplify]: Simplify -1 into -1 9.902 * [taylor]: Taking taylor expansion of N in N 9.902 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify (/ -1 1) into -1 9.903 * [backup-simplify]: Simplify (sqrt 0) into 0 9.903 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.904 * [backup-simplify]: Simplify (- 1) into -1 9.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.904 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.904 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.904 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.904 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.904 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.904 * [taylor]: Taking taylor expansion of -1 in N 9.904 * [backup-simplify]: Simplify -1 into -1 9.904 * [taylor]: Taking taylor expansion of N in N 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.905 * [backup-simplify]: Simplify (/ -1 1) into -1 9.905 * [backup-simplify]: Simplify (sqrt 0) into 0 9.906 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.906 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.906 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.906 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.906 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.906 * [taylor]: Taking taylor expansion of 1.0 in N 9.906 * [backup-simplify]: Simplify 1.0 into 1.0 9.906 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.906 * [taylor]: Taking taylor expansion of N in N 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify 1 into 1 9.906 * [backup-simplify]: Simplify (/ 1 1) into 1 9.906 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.906 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.906 * [taylor]: Taking taylor expansion of -1 in N 9.906 * [backup-simplify]: Simplify -1 into -1 9.906 * [taylor]: Taking taylor expansion of N in N 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify 1 into 1 9.907 * [backup-simplify]: Simplify (/ -1 1) into -1 9.907 * [backup-simplify]: Simplify (sqrt 0) into 0 9.908 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.908 * [backup-simplify]: Simplify (- 1) into -1 9.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.908 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.909 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.909 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.909 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.909 * [taylor]: Taking taylor expansion of -1 in N 9.909 * [backup-simplify]: Simplify -1 into -1 9.909 * [taylor]: Taking taylor expansion of N in N 9.909 * [backup-simplify]: Simplify 0 into 0 9.909 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (/ -1 1) into -1 9.909 * [backup-simplify]: Simplify (sqrt 0) into 0 9.914 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.914 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.915 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.916 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 9.916 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.917 * [backup-simplify]: Simplify (- 0) into 0 9.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.919 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.921 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.927 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.931 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.932 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.932 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.933 * [backup-simplify]: Simplify (- 0) into 0 9.934 * [backup-simplify]: Simplify (+ 0 0) into 0 9.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.943 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.982 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.983 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.983 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.984 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 9.985 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 9.985 * [backup-simplify]: Simplify (/ (+ 1.0 N) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 9.985 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 9.985 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.985 * [taylor]: Taking taylor expansion of N in N 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [backup-simplify]: Simplify (/ 1 1) into 1 9.986 * [backup-simplify]: Simplify (sqrt 0) into 0 9.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.987 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.987 * [taylor]: Taking taylor expansion of N in N 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 1 into 1 9.987 * [taylor]: Taking taylor expansion of 1.0 in N 9.987 * [backup-simplify]: Simplify 1.0 into 1.0 9.987 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.987 * [taylor]: Taking taylor expansion of N in N 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 1 into 1 9.988 * [backup-simplify]: Simplify (/ 1 1) into 1 9.988 * [backup-simplify]: Simplify (sqrt 0) into 0 9.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.989 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.989 * [taylor]: Taking taylor expansion of N in N 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [taylor]: Taking taylor expansion of 1.0 in N 9.989 * [backup-simplify]: Simplify 1.0 into 1.0 9.990 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.990 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.990 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify (+ 1 0) into 1 9.992 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.993 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.993 * [backup-simplify]: Simplify (+ 0 0) into 0 9.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 10.000 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.000 * [backup-simplify]: Simplify (+ 0 0) into 0 10.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 10.009 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.011 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 10.011 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 10.011 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 10.011 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 10.011 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.011 * [taylor]: Taking taylor expansion of N in N 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (sqrt 0) into 0 10.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.013 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.013 * [taylor]: Taking taylor expansion of N in N 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (/ 1 1) into 1 10.014 * [taylor]: Taking taylor expansion of 1.0 in N 10.014 * [backup-simplify]: Simplify 1.0 into 1.0 10.014 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 10.014 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.014 * [taylor]: Taking taylor expansion of N in N 10.014 * [backup-simplify]: Simplify 0 into 0 10.014 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (sqrt 0) into 0 10.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.015 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.015 * [taylor]: Taking taylor expansion of N in N 10.015 * [backup-simplify]: Simplify 0 into 0 10.016 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (/ 1 1) into 1 10.016 * [taylor]: Taking taylor expansion of 1.0 in N 10.016 * [backup-simplify]: Simplify 1.0 into 1.0 10.016 * [backup-simplify]: Simplify (+ 1 0) into 1 10.017 * [backup-simplify]: Simplify (* 0 1) into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.018 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.020 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 10.020 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.021 * [backup-simplify]: Simplify (+ 0 0) into 0 10.024 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 10.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.028 * [backup-simplify]: Simplify (+ 0 0) into 0 10.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 10.038 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.046 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 10.046 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 10.046 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 10.046 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 10.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.046 * [taylor]: Taking taylor expansion of 1.0 in N 10.046 * [backup-simplify]: Simplify 1.0 into 1.0 10.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.046 * [taylor]: Taking taylor expansion of N in N 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (/ 1 1) into 1 10.046 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.047 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.047 * [taylor]: Taking taylor expansion of -1 in N 10.047 * [backup-simplify]: Simplify -1 into -1 10.047 * [taylor]: Taking taylor expansion of N in N 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [backup-simplify]: Simplify (/ -1 1) into -1 10.047 * [backup-simplify]: Simplify (sqrt 0) into 0 10.049 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.049 * [backup-simplify]: Simplify (- 1) into -1 10.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.050 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 10.050 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 10.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.050 * [taylor]: Taking taylor expansion of 1.0 in N 10.050 * [backup-simplify]: Simplify 1.0 into 1.0 10.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.050 * [taylor]: Taking taylor expansion of N in N 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify 1 into 1 10.051 * [backup-simplify]: Simplify (/ 1 1) into 1 10.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.051 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.051 * [taylor]: Taking taylor expansion of -1 in N 10.051 * [backup-simplify]: Simplify -1 into -1 10.051 * [taylor]: Taking taylor expansion of N in N 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.051 * [backup-simplify]: Simplify (/ -1 1) into -1 10.052 * [backup-simplify]: Simplify (sqrt 0) into 0 10.053 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.053 * [backup-simplify]: Simplify (- 1) into -1 10.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.054 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 10.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (- 0) into 0 10.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.060 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.063 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (- 0) into 0 10.065 * [backup-simplify]: Simplify (+ 0 0) into 0 10.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.074 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.075 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 10.075 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 10.075 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 10.075 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 10.075 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 10.075 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.075 * [taylor]: Taking taylor expansion of N in N 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (sqrt 0) into 0 10.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.078 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.078 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 10.078 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.078 * [taylor]: Taking taylor expansion of N in N 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.078 * [backup-simplify]: Simplify (sqrt 0) into 0 10.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.080 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.081 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 10.081 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 10.084 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 10.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.108 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 10.108 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 10.108 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 10.108 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 10.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.109 * [taylor]: Taking taylor expansion of N in N 10.109 * [backup-simplify]: Simplify 0 into 0 10.109 * [backup-simplify]: Simplify 1 into 1 10.109 * [backup-simplify]: Simplify (/ 1 1) into 1 10.109 * [backup-simplify]: Simplify (sqrt 0) into 0 10.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.111 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.111 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 10.111 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.111 * [taylor]: Taking taylor expansion of N in N 10.111 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify 1 into 1 10.111 * [backup-simplify]: Simplify (/ 1 1) into 1 10.112 * [backup-simplify]: Simplify (sqrt 0) into 0 10.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.113 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.114 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.118 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.124 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 10.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.141 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.141 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 10.141 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 10.141 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 10.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.141 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.141 * [taylor]: Taking taylor expansion of -1 in N 10.141 * [backup-simplify]: Simplify -1 into -1 10.141 * [taylor]: Taking taylor expansion of N in N 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 1 into 1 10.141 * [backup-simplify]: Simplify (/ -1 1) into -1 10.141 * [backup-simplify]: Simplify (sqrt 0) into 0 10.142 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.142 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.142 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 10.142 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.142 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.143 * [taylor]: Taking taylor expansion of -1 in N 10.143 * [backup-simplify]: Simplify -1 into -1 10.143 * [taylor]: Taking taylor expansion of N in N 10.143 * [backup-simplify]: Simplify 0 into 0 10.143 * [backup-simplify]: Simplify 1 into 1 10.143 * [backup-simplify]: Simplify (/ -1 1) into -1 10.143 * [backup-simplify]: Simplify (sqrt 0) into 0 10.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.144 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.145 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 10.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.166 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.166 * * * [progress]: simplifying candidates 10.168 * [simplify]: Simplifying: (expm1 (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (log1p (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ 1.0 N) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ 1.0 N) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ 1.0 N))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ 1.0 N))) (- (log (sqrt N)) (log (/ (+ 1.0 N) (sqrt N)))) (expm1 (/ (+ 1.0 N) (sqrt N))) (log1p (/ (+ 1.0 N) (sqrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (exp (/ (+ 1.0 N) (sqrt N))) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))) (* (* (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt 1)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt 1)) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) 1) (/ (sqrt N) (cbrt (+ 1.0 N))) (/ (sqrt N) (sqrt (+ 1.0 N))) (/ (sqrt N) (+ 1.0 N)) (/ (sqrt N) (+ 1.0 N)) (* (sqrt N) (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* (sqrt N) (- 1.0 N)) (expm1 (log (sqrt N))) (log1p (log (sqrt N))) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log (sqrt 1)) (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log 1) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (exp (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 10.170 * * [simplify]: iteration 0: 205 enodes 10.251 * * [simplify]: iteration 1: 487 enodes 10.441 * * [simplify]: iteration 2: 1369 enodes 11.117 * * [simplify]: iteration complete: 5000 enodes 11.117 * * [simplify]: Extracting #0: cost 97 inf + 0 11.121 * * [simplify]: Extracting #1: cost 737 inf + 2 11.132 * * [simplify]: Extracting #2: cost 1550 inf + 6664 11.156 * * [simplify]: Extracting #3: cost 1470 inf + 71558 11.238 * * [simplify]: Extracting #4: cost 377 inf + 377554 11.376 * * [simplify]: Extracting #5: cost 13 inf + 512033 11.501 * * [simplify]: Extracting #6: cost 0 inf + 517236 11.634 * [simplify]: Simplified to: (expm1 (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (log1p (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (* (* (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (fma (- (log (sqrt N))) (* (log (sqrt N)) (log (sqrt N))) (* (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))))) (fma (log (sqrt N)) (log (sqrt N)) (fma (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (* (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- 0 (log (+ N 1.0))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (+ (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (+ (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N)))) (log (sqrt N))) (- (log (* (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (* (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (- 1.0) N) (- (sqrt N)) (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (* (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (fma 1.0 1.0 (* N (- N 1.0)))) (* (sqrt N) (- 1.0 N)) (expm1 (log (sqrt N))) (log1p (log (sqrt N))) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (fabs (cbrt N))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (sqrt N) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (log (sqrt N)) (* (log (sqrt N)) (log (sqrt N)))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (- (log (- +nan.0)) (+ (log +nan.0) (log N))) (* +nan.0 (- N (* N N)))) (- (+ (- (log (- +nan.0)) (log +nan.0)) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (+ (fma +nan.0 (/ -1 N) (log (/ -1 N))) (/ +nan.0 (* N N)))) (- (fma +nan.0 (- N (* N N)) +nan.0)) (fma +nan.0 (/ -1 (* N N)) (- (/ +nan.0 N) +nan.0)) (fma +nan.0 (/ -1 N) (- (* N +nan.0) +nan.0)) (- (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N)))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) 11.642 * * * [progress]: adding candidates to table 12.480 * [progress]: [Phase 3 of 3] Extracting. 12.480 * * [regime]: Finding splitpoints for: (# # #) 12.480 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.480 * * * * [regimes]: Trying to branch on N from (# # #) 12.525 * * * [regime]: Found split indices: #